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in Linear Equations by (41.6k points)
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Solve the linear equations 2x + 3y = 12 and 3x + 2y = 13 by graph method.

1 Answer

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by (41.9k points)
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Best answer

A linear equation can be expressed by a straight line on a graph. 

The intersecting point of two straight lines is the solution of linear equation represented by them. 

Now let us find the points on 2x + 3y = 12

So the line represented by the equation 2x + 3y = 12 passes through the points (0, 4) and (6, 0). 

Similarly 3x + 2y = 13 passes through the points (1, 5) and (3, 2)

Now, see the graph

So x = 3, and y = 2 is the solution of above system.

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